# Vector Dot (Inner) Product Calculator

An online calculator for finding the dot (inner) product of two vectors, with steps shown.

$\langle$ $\rangle$
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$\langle$ $\rangle$
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Calculate $\left\langle 7, 0, -2\right\rangle\cdot \left\langle 1, -1, 4\right\rangle$.
The dot product is given by $\mathbf{\vec{u}}\cdot \mathbf{\vec{v}} = \sum_{i=1}^{n} u_{i} v_{i}$.
Thus, what we need to do is multiply the corresponding coordinates and then add up the results: $\left\langle 7, 0, -2\right\rangle\cdot \left\langle 1, -1, 4\right\rangle = \left(7\right)\cdot \left(1\right) + \left(0\right)\cdot \left(-1\right) + \left(-2\right)\cdot \left(4\right) = -1.$
$\left\langle 7, 0, -2\right\rangle\cdot \left\langle 1, -1, 4\right\rangle = -1$A